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Finding the Fourth Proportional to 143.96, 198.67 and 78.46

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Solution

The fourth proportional to 143.96, 198.67 and 78.46 is: 108.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    143.96 : 198.67 = 78.46 : x
  2. Step 2: Convert to fraction form
    143.96/198.67 = 78.46/x
  3. Step 3: Cross multiply
    143.96x = 198.67 × 78.46
  4. Step 4: Simplify right side
    143.96x = 15,587.75
  5. Step 5: Solve for x
    x = 15,587.75/143.96
  6. Step 6: Final answer
    x = 108.28

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.